Heat Kernels and Spectral Theory

Paperback Engels 1990 9780521409971
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An advanced monograph on a central topic in the theory of differential equations, Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators. While the study of the heat equation is a classical subject, this book analyses the improvements in our quantitative understanding of heat kernels. The author considers variable coefficient operators on regions in Euclidean space and Laplace-Beltrami operators on complete Riemannian manifolds. He also includes results pertaining to the heat kernels of Schrödinger operators; such results will be of particular interest to mathematical physicists, and relevant too to those concerned with properties of Brownian motion and other diffusion processes.

Specificaties

ISBN13:9780521409971
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:208

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Inhoudsopgave

Preface; 1. Introductory concepts; 2. Logarithmic Sobolev inequalities; 3. Gaussian bounds on heat kernels; 4. Boundary behaviour; 5. Riemannian manifolds; References; Notation index; Index.

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€ 73,86
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        Heat Kernels and Spectral Theory